Quasi-Local Conservation Equations in General Relativity

Details Quasi-Local Conservation Equations in General Relativity Quasi-Local Conservation Equations in General Relativity

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1608y&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

A complete set of quasi-local conservation equations is derived from the Einstein's equations using the first-order (2,2)-formalism of general relativity. These equations are interpreted as quasi-local energy, momentum, and angular momentum conservation equations. In the asymptotic region of asymptotically flat space-times, the quasi-local energy and energy-flux integral agrees with the standard Bondi energy and Bondi energy-flux, respectively. In spherically symmetric space-times, the quasi-local energy becomes the Misner-Sharp energy. Moreover, on the event horizon of a general dynamical black hole, it is shown that the quasi-local energy conservation equation coincides with the conservation equation studied by Thome et al.

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